You deposit $300 into a savings account that is compounded annually. The function g(x) = 300(1.04)x can be used to find the amount of money in the savings account after x years. What is the constant percent rate of change?

Answers

Answer 1

Answer:

This is a simple interest, as the amount earned each year is constant

Step-by-step explanation:

Answer 2

Using compound interest, it is found that the constant percent rate of change is of 4%.

--------------------

The formula for an amount of money invested into compound interest is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which:

A(t) is the amount after t years.A(0) is the initial amount.r is the constant percent rate of change.t is the time.

--------------------

The function is:

[tex]g(x) = 300(1.04)^x[/tex]

Thus, for the constant percent rate of change:

[tex]1 + r = 1.04[/tex]

[tex]r = 1.04 - 1 = 0.04[/tex]

[tex]0.04 \times 100\% = 4\%[/tex]

The constant percent rate of change is of 4%.

A similar problem is given at https://brainly.com/question/3044643


Related Questions

HELP PLEASEEEEEEEEEEE

Answers

Answer:

The answer you have selected is correct.

Step-by-step explanation:

Answer:

X^2 - 7xy + y^2 +2y

Step-by-step explanation:

For this, they are just trying to test if u know how to expand the brackets, especially for the one on the right, since that is a negative infront of the bracket, u would need to multiply negative to all the values in that bracket

solve the simultaneous equation

x+2y=5
x²-y²=-3​

Answers

Answer:

y = 14/3 and 2

x = -13/3 and 1

(-13/3, 14/3) and (1, 2)

Step-by-step explanation:

[tex]x + 2y = 5 - - - (a) \\ {x}^{2} - {y}^{2} = - 3 - - - (b)[/tex]

for equation (a)

make x the subject of the formular:

[tex]x = 5 - 2y - - - (c)[/tex]

for equation (b)

[tex] {x}^{2} - {y}^{2} = - 3[/tex]

substitute for x as 5 - 2y in equation (b):

[tex] {(5 - 2y)}^{2} - {y}^{2} = - 3 \\ (25 - 20y + 4 {y}^{2} ) - {y}^{2} = - 3 \\ 25 - 20y + 3 {y}^{2} = - 3 \\ {3y}^{2} - 20y + 28 = 0 \\ (3y - 14)(y - 2) = 0[/tex]

therefore,

[tex]y = \frac{14}{3} \: \: and \: \: 2[/tex]

substitute for all values of y in equation (c):

for y = 14/3:

[tex]x = 5 - 2( \frac{14}{3} ) \\ \\ x = 5 - \frac{28}{3} \\ \\ x = - \frac{13}{3} [/tex]

for y = 2:

[tex]x = 5 - 2(2) \\ x = 5 - 4 \\ x = 1[/tex]

Answer:

(1, 2)

(-13/3, 14/3).

Step-by-step explanation:

x + 2y = 5

x² - y² = -3​

From the first equation x = 5 - 2y

Substitute for y in the second equation:

(5 - 2y)^2 - y^2 = -3

25 + 4y^2 - 20y - y^2 = -3

3y^2 - 20y + 28 = 0

Factoring:-

(3y - 14(y  -  2)   = 0

y = 2, 14/3.

So when y = 2, x = 5 - 2(2) = 1.

When y = 14/3, x = 5 - 2(14/3) = -13/3.

Checking the results in the second equation:

(1, 2):-

1^2 - 2^2 = -3    Correct.

(-13/3, 14/3):-

(-13/3)^2 - (14/3)^2 = -3   Correct.

Given the piecewise function shown below, select all of the following statements that are true

Answers

Answer:

A and C

Step-by-step explanation:

A

when x = 2 , that is x > 1 then f(x) = x² , that is

f(2) = 2² = 4 ← True

B

when x = 5, that is x > 1 then f(x) = x² , that is

f(5) = 5² = 25 ≠ 1 ← not true

C

when x = 1 then f(x) = 5 , that is

f(1) = 5 ← True

D

when x = - 2 , that is x < 1 , then f(x) = 2x , that is

f(- 2) = 2(- 2) = - 4 ≠ 4 ← not true

[(30 + 6) − 3^2] ÷ 9 ⋅ 2

Answers

Answer: 6

Step-by-step explanation:

[tex]((30+6)-3^{2})\div9\times2\\(36-9)\div9\times2\\(27)\div9\times2\\3\times2\\6[/tex]

Answer:

135/46

Step-by-step explanation:

30+6=36

3^2 = 9

36-9=27

27/9.2=135/46

Re-write the equation 3 x minus y = 4 in slope-intercept form.
a.
y = 3 x minus 4
c.
y = negative 3 x minus 4
b.
y = 3 x + 4
d.
y = negative 3 x + 4



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

3x - y = 4 ( subtract 3x from both sides )

- y = - 3x + 4 ( multiply through by - 1 )

y = 3x - 4 → A

Add. Write your answer as a fraction in simplest form. 6+(−4 3/4)+(−2 1/8)=

Answers

The answer would be 15 using order of operations

Question 7
Which graph best represents the solution to the following inequality?
+ 5 > 11
A
16
17
19 20 21 22
23 24 25
O
15
16
17
18 19 20 21 22
23
24 25
c.
10 11
3 4 5
12
15
13 14
D.
8
10
11
12
13
14
15

Answers

Answer:

D

Step-by-step explanation:

x + 5 > 11

is the same as

x > 6

and because it is ">" and not ">=", the solution point is not included.

therefore the right graph is D and not C. an empty little circle means "excluded", while a filled, black circle means "included".

The cost of a camp is $300 for the first week and $125 for each week beyond the first. The total cost can be modeled by the expression 300 + 125(x – 1). What does (x – 1) represent?

Answers

x - 1 is the total number of weeks minus the first  

Answer: x-1 is number of weeks-1st week

Step-by-step explanation:

x represents the number of weeks bring the first.

-1 is to remove the first week that costs $300

pls guys i need help fast D:

√1024

√10000

√1296

Answers

Answer:

1. 32

2. 100

3. 36

..........................

Answer:

32

100

36

Step-by-step explanation:

Determine what type of transformation is represented.


A. translation

B. reflection

C. rotation

D. none of these

Answers

Answer:

B

Step-by-step explanation:

9. Arrange 3 519;3951; 3191 in descending order.​

Answers

Answer:

3951>3519>3191

Step-by-step explanation:

hope you understood how

Insert grouping symbols to make each number sentence true 7*8-6+3=17

Answers

Answer:

7*(8-6)+3

Step-by-step explanation:

Grouping symbols are parentheses; trial and error can lead you to this answer.

Checking, we must use order of operations (PEMDAS). First, we evaluate what's inside parentheses.

7 * 2 + 3

Then multiply:

14 + 3

Then add

17

Find an
expression which represents the sum of (-X – 7) and (-9x + 6) in
simplest terms.

Answers

Answer:

sum is -(10x + 1)

Step-by-step explanation:

[tex]( - x - 7) + ( - 9x + 6) \\ = ( - x - 9x) + (6 - 7) \\ = - 10x - 1 \\ = - (10x + 1)[/tex]

Answer:

[tex]( - x - 7) + ( - 9x + 6) \\ = - x - 7 - 9x + 6 \\ = - 10x - 1 \\ thank \: you[/tex]

Which variable is dependent temperature or time of day? Which variable is independent?​

Answers

Answer:

 The temperature depends on the time.

The independent variable is the variable the experimenter manipulates or changes.

Hope it helps you.

pls help!! it will mean a lot thank you:)

Answers

A. Scientific notation must be written as a number between 1 and 10 multiplied by a power of 10.
B. If the standard form of the number is greater than 1, the exponent will be positive.
C. If the standard form of the number is less than 1, the exponent will be negative.

Can I get some help on this ?

Answers

Answer:j r f a h

Step-by-step explanation:

answer is fast plz please please please ​

Answers

50x5=25x10
70x7=14x35

what is the answer to 90π + 2π(7.5)2

Answers

Answer:

635.75

Step-by-step explanation:

90π + 2π(7.5)²

~Simplify

90π + 2π(56.25)

~Multiply

282.5 + 2(176.625)

~Simplify

282.5 + 353.25

635.75

All this was simplified using PEMDAS.

Best of Luck!

Find the numerical value, if x = 3 and y = 2.
4x + Зу -2
5y + 3

Answers

Answer:

4(3) + 3(2) - 2 = 16

5(2) + 3 = 13

Step-by-step explanation:

You insert the numerical values given for the variables X and Y.

HELPP PLEASE NEED ASAP!!

Answers

F(x)=2x-1 is the answer

Answer:

I agree with the answer above me

Step-by-step explanation:

You can give the brainliest to them

Pls can anyone mention pri.e numbers from 1 to 100..
Pls answer ASAP
Scammers will be reported!!! ​

Answers

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

hope it will help you Mark me as brilliant

Answer:

hope this helps and you meant prime numbers

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

12. Find the component form of the vector that translates A(-4, 8) to A'(7, -9).

Answers

Answer:

a-4,8+_84(4+4(*:84

dirkrk

The component form of the vector that translates will be 11i - 17j.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The translation does not change the shape and size of the geometry. But changes the location.

The point A(-4, 8) is translated to the point A'(7, -9). Then the rule of the transformation is given as,

(7, - 9) = (- 4 + x, 8 + y)

Compare the abscissa, then we have

7 = - 4 + x

x = 7 + 4

x = 11

Compare the ordinate, then we have

y + 8 = - 9

y = - 8 - 9
y = - 17

The component form of the vector that translates will be 11i - 17j.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ2

Please help thanks .

Answers

Answer:

2

Step-by-step explanation:

Answer:

2x+2y=2

Step-by-step explanation:

2x+2y=....

So you substitute x for 4 and y for -3.

Which would will give you 2(4)+2(-3). 2·4+2·3 which would give you 8+-6

Then you would add 8 and -6.

8+-6

That should give you 2.

Cal can make 6 bracelets in 2 hours. How many bracelets can he make in 3 hours?

Answers

Answer:

9 bracelets

Step-by-step explanation:

Divide 6/2 = 3 bracelets per hour

3 bracelets * 3 hours = 9 bracelets

Answer:

9

Step-by-step explanation:

bc i say so

simplify each expression

Answers

Answer:

3

Step-by-step explanation:

Given

[tex]\sqrt[3]{\sqrt{729} }[/tex]

Evaluate from the ' inside- out ' , that is

[tex]\sqrt{729}[/tex] = 27 , then

[tex]\sqrt[3]{27}[/tex]

= 3

Answer:

3

Step-by-step explanation:

[tex] \sqrt[3]{ \sqrt{729} } [/tex]

[tex] = \sqrt[3]{ \sqrt{ {27}^{2} } } [/tex]

[tex] = \sqrt[3]{27} [/tex]

[tex] = \sqrt[3]{ {3}^{3} } [/tex]

[tex] = 3[/tex] ✅

Kim was given $16 for weeding the
garden. She now has $39. How much
money did she start with?

Answers

she started with $23.

explanation:
you’d subtract 16 from 39 which would get you 23.
I believe it is $23 since she started with 16 and then you take 16 and 39 and subtract them

In 2003, the population of an African country was about 22.5 million people, which is 1 million more than
5 times the population in 1950.
Enter and solve an equation to find the approximate population p (in millions) in 1950.
An equation is
The approximate population in 1950 was
million people.

Answers

Answer:

Population of Africa in 2003 is 22.5 million

population of Africa in 1950 is 1 million - 22.5 million /5

21.5million / 5

21500000/5

4300000

4.3 million people

can u solve it? what is5/7+4/5=?

please tell me this is homework for 8th grade bc i am in 8th so plz help me im not very good at math

Answers

Step-by-step explanation:

5/7+4/5

LCM of 5,7 is 35

So,

25+28/35

53/35

Answer:

53/35

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

6+(-2) is __ units from 6, in the __ directon

Answers

Answer:

4 is 2 units from 6, in the east direction (of a graph)

Mike weights 200 pounds and plans to lose 1.5 pounds a week. Jeff weights 180 pounds and plans to lose 0.5 pounds a week. When mike and Jeff weigh the same?

Answers

they will weigh the same at 11.5 weeks

Answer:

20 weeks

Step-by-step explanation:

200-1.5w=180-0.5w

You can double-check by substituting 20 for w (weeks), if it is equal, then the equation is correct.

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